algebraic expression ppt
TRANSCRIPT
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ObjectiveThe student will be able to:
translate verbal expressions intomath expressions and vice versa.
SOL: A.2
Designed by Skip Tyler, Varina High School
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What is the area of a rectangle?
Length times Width
If the length is 3 meters and the width is 2
meters, what is the area?A = L x W
A = 3 x 2 = 6 meters2
A, L and W are the variables. It is anyletter that represents an unknown number.
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An algebraic expression
contains:
1) one or more numbers or variables, and
2) one or more arithmetic operations.Examples:
x - 3
3 2n
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In expressions, there are many
different ways to write multiplication.
1) ab
2)
a b
3) a(b) or (a)b
4) (a)(b)
5) a x bWe are not going to use the multiplication symbol
any more. Why?
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Division, on the other hand, is
written as:
1)
2) x 3
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Throughout this year, you will hear many
words that mean addition, subtraction,multiplication, and division. Complete the
table with as many as you know.
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Here are some phrases you may have listed.
The terms with * are ones that are often
used.
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Write an algebraic expression for
1) m increased by 5.
m + 5
2) 7 times the product ofx and t.
7xt or 7(x)(t) or 7 x t
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3) 11 less than 4 times a number.4n - 11
4) two more than 6 times a number.
6n + 25) the quotient of a number and 12.
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Which of the following expressions represents
7 times a number decreased by 13?1. 7x + 132. 7x - 133. 13 - 7x4. 13 + 7x
Answer Now
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Which one of the following expressions
represents 28 less than three times a number?1. 28 - 3x2. 3x - 283. 28 + 3x4. 3x + 28
Answer Now
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Write a verbal expression for:
1) 8 + a.
The ratio ofm to rDo you have a different way of writing
these?
The sum of 8 and a
2)
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Which of the following verbal expressions
represents 2x + 9?
Answer Now
1. 9 increased by twice a number2. a number increased by nine3.
twice a number decreased by 9
4. 9 less than twice a number
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Which of the following expressions represents
the sum of 16 and five times a number?
Answer Now
1. 5x - 162. 16x + 53. 16 + 5x4. 16 - 5x
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base
and 3 is called the
exponentor power.
103 means 10 10 10103 = 1000
When looking at the expression103, 10 is called the
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How is it said?
21
Two to the first power
22
Two to the second power or two squared23
Two to the third power or two cubed
2n7
Two times n to the seventh power
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Which of the following verbal expressions
represents x2 + 2x?
Answer Now
1. the sum of a number squared andtwice a number
2. the sum of a number and twice thenumber
3. twice a number less than the numbersquared
4. the sum of a number and twice thenumber squared
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Which of the following expressions
represents four less than the cube of a
number?
Answer Now
1. 4 x32. 4 3x3. 3x 44. x3 4
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Evaluate.
21
2
22
2 2 = 423
2 2 2 = 8
2n7
We cant evaluate because we dont
know what n equals to!!
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Is 35 the same as 53?
Evaluate each and find out!
35 = 3 3 3 3 3 = 243
53 = 5 5 5 = 125
243 125
They are not the same!
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